%0 Journal Article %A Martínez Alonso, Luis %T Soliton motion in the case of a nonzero reflection coefficient %D 1985 %@ 0031-9007 %U https://hdl.handle.net/20.500.14352/65009 %X A method is given for finding the shifts in position of the solitons for the case of nonzero reflection coefficient. Expressions for boost generators in terms of scattering data play a prominent role in the analysis. Phase-shift formulas which show the effect of the radiation component on the soliton motion are deduced for the nonlinear Schrodinger equation, the Korteweg —de Vries equation, and the sine-Gordon equation. %~